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Finding the Fourth Proportional to 98,224.56, 147,380.40 and 51,466.32

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Solution

The fourth proportional to 98,224.56, 147,380.40 and 51,466.32 is: 77,222.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,224.56 : 147,380.40 = 51,466.32 : x
  2. Step 2: Convert to fraction form
    98,224.56/147,380.40 = 51,466.32/x
  3. Step 3: Cross multiply
    98,224.56x = 147,380.40 × 51,466.32
  4. Step 4: Simplify right side
    98,224.56x = 7,585,126,828.13
  5. Step 5: Solve for x
    x = 7,585,126,828.13/98,224.56
  6. Step 6: Final answer
    x = 77,222.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.